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Finding the Third Proportional to 348,738 and 739,329

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Solution

The third proportional to 348,738 and 739,329 is: 1,567,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,738 : 739,329 = 739,329 : x
  2. Step 2: Convert to fraction form
    348,738/739,329 = 739,329/x
  3. Step 3: Cross multiply
    348,738x = 739,329 × 739,329
  4. Step 4: Simplify right side
    348,738x = 546,607,370,241
  5. Step 5: Solve for x
    x = 546,607,370,241/348,738
  6. Step 6: Final answer
    x = 1,567,386.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.